Question

An 8 m long cuboidal beam of wood when sliced produces four thousand 1 cm cubes and there is no wastage of wood in this process. If one edge of the beam is 0.5 m, find the third edge.

Answer 1

Length of cuboidal beam (l)
= 8 m =800 cm
Number of cubical sliced = 4000
Edge of each cube = 1 cm
$\therefore$ Volume of beam = $4000(1{)}^{3}c{m}^3=4000c{m}^3$
One edge of the beam = 0.5 = 50 cm.
$\therefore$ Third edge= $\frac{Volume}{l\times b}=\frac{4000}{800\times 50}$ cm
= $\frac{1}{10}$ cm = 0.1 cm =0.001 m